FIXED TIME IMPULSIVE DIFFERENTIAL INCLUSIONS

Tzanko Donchev

Abstract. In the paper we study weak and strong
invariance of differential inclusions with fixed time impulses and with
state constraints.
We also investigate some properties of the solution set of
impulsive system without state constraints. When the right-hand
side is one sided Lipschitz we prove also the relaxation theorem
and study the funnel equation of the reachable set.